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Simplifying (X2 + 2x + 1)(x2 + 4x + 4) = 0 Reorder the terms: (1 + X2 + 2x)(x2 + 4x + 4) = 0 Reorder the terms: (1 + X2 + 2x)(4 + 4x + x2) = 0 Multiply (1 + X2 + 2x) * (4 + 4x + x2) (1(4 + 4x + x2) + X2(4 + 4x + x2) + 2x * (4 + 4x + x2)) = 0 ((4 * 1 + 4x * 1 + x2 * 1) + X2(4 + 4x + x2) + 2x * (4 + 4x + x2)) = 0 ((4 + 4x + 1x2) + X2(4 + 4x + x2) + 2x * (4 + 4x + x2)) = 0 (4 + 4x + 1x2 + (4 * X2 + 4x * X2 + x2 * X2) + 2x * (4 + 4x + x2)) = 0 (4 + 4x + 1x2 + (4X2 + 4xX2 + x2X2) + 2x * (4 + 4x + x2)) = 0 (4 + 4x + 1x2 + 4X2 + 4xX2 + x2X2 + (4 * 2x + 4x * 2x + x2 * 2x)) = 0 (4 + 4x + 1x2 + 4X2 + 4xX2 + x2X2 + (8x + 8x2 + 2x3)) = 0 Reorder the terms: (4 + 4X2 + 4x + 8x + 4xX2 + 1x2 + 8x2 + x2X2 + 2x3) = 0 Combine like terms: 4x + 8x = 12x (4 + 4X2 + 12x + 4xX2 + 1x2 + 8x2 + x2X2 + 2x3) = 0 Combine like terms: 1x2 + 8x2 = 9x2 (4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3) = 0 Solving 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + -4 + 2x3 = 0 + -4 Reorder the terms: 4 + -4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -4 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -4 Combine like terms: 0 + -4 = -4 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -4 Add '-12x' to each side of the equation. 4X2 + 12x + 4xX2 + 9x2 + x2X2 + -12x + 2x3 = -4 + -12x Reorder the terms: 4X2 + 12x + -12x + 4xX2 + 9x2 + x2X2 + 2x3 = -4 + -12x Combine like terms: 12x + -12x = 0 4X2 + 0 + 4xX2 + 9x2 + x2X2 + 2x3 = -4 + -12x 4X2 + 4xX2 + 9x2 + x2X2 + 2x3 = -4 + -12x Add '-9x2' to each side of the equation. 4X2 + 4xX2 + 9x2 + x2X2 + -9x2 + 2x3 = -4 + -12x + -9x2 Reorder the terms: 4X2 + 4xX2 + 9x2 + -9x2 + x2X2 + 2x3 = -4 + -12x + -9x2 Combine like terms: 9x2 + -9x2 = 0 4X2 + 4xX2 + 0 + x2X2 + 2x3 = -4 + -12x + -9x2 4X2 + 4xX2 + x2X2 + 2x3 = -4 + -12x + -9x2 Add '-2x3' to each side of the equation. 4X2 + 4xX2 + x2X2 + 2x3 + -2x3 = -4 + -12x + -9x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 4X2 + 4xX2 + x2X2 + 0 = -4 + -12x + -9x2 + -2x3 4X2 + 4xX2 + x2X2 = -4 + -12x + -9x2 + -2x3 Reorder the terms: 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -4 + -12x + -9x2 + -2x3 + 4 + 12x + 9x2 + 2x3 Reorder the terms: 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -4 + 4 + -12x + 12x + -9x2 + 9x2 + -2x3 + 2x3 Combine like terms: -4 + 4 = 0 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -12x + 12x + -9x2 + 9x2 + -2x3 + 2x3 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -12x + 12x + -9x2 + 9x2 + -2x3 + 2x3 Combine like terms: -12x + 12x = 0 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -9x2 + 9x2 + -2x3 + 2x3 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -9x2 + 9x2 + -2x3 + 2x3 Combine like terms: -9x2 + 9x2 = 0 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 + -2x3 + 2x3 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 4 + 4X2 + 12x + 4xX2 + 9x2 + x2X2 + 2x3 = 0 The solution to this equation could not be determined.
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